21220100121120 has 192 divisors, whose sum is σ = 67418940314880. Its totient is φ = 5610070867968.

The previous prime is 21220100121119. The next prime is 21220100121191. The reversal of 21220100121120 is 2112100102212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220100121120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50359629 + ... + 50779251.

It is an arithmetic number, because the mean of its divisors is an integer number (351140314140).

Almost surely, 2^{21220100121120} is an apocalyptic number.

21220100121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220100121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33709470157440).

21220100121120 is an abundant number, since it is smaller than the sum of its proper divisors (46198840193760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21220100121120 is a wasteful number, since it uses less digits than its factorization.

21220100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420547 (or 420539 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21220100121120 its reverse (2112100102212), we get a palindrome (23332200223332).

The spelling of 21220100121120 in words is "twenty-one trillion, two hundred twenty billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".